Optimized detection of high-dimensional entanglement

• URL: http://arxiv.org/abs/2011.02217v3
• Date: Fri, 29 Oct 2021 03:11:00 GMT
• Title: Optimized detection of high-dimensional entanglement
• Authors: Xiao-Min Hu, Wen-Bo Xing, Yu Guo, Mirjam Weilenmann, Edgar A. Aguilar, Xiaoqin Gao, Bi-Heng Liu, Yun-Feng Huang, Chuan-Feng Li, Guang-Can Guo, Zizhu Wang and Miguel Navascu\'es
• Abstract summary: Entanglement detection is one of the most conventional tasks in quantum information processing. We introduce a highly flexible automated method to construct optimal tests for entanglement detection. We experimentally certify 2- and 3-unfaithful entanglement in 4-dimensional photonic states.
• Score: 1.6179087103822984
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Entanglement detection is one of the most conventional tasks in quantum information processing. While most experimental demonstrations of high-dimensional entanglement rely on fidelity-based witnesses, these are powerless to detect entanglement within a large class of entangled quantum states, the so-called unfaithful states. In this paper, we introduce a highly flexible automated method to construct optimal tests for entanglement detection given a bipartite target state of arbitrary dimension, faithful or unfaithful, and a set of local measurement operators. By restricting the number or complexity of the considered measurement settings, our method outputs the most convenient protocol which can be implemented using a wide range of experimental techniques such as photons, superconducting qudits, cold atoms or trapped ions. With an experimental quantum optics setup that can prepare and measure arbitrary high-dimensional mixed states, we implement some $3$-setting protocols generated by our method. These protocols allow us to experimentally certify 2- and 3-unfaithful entanglement in 4-dimensional photonic states, some of which contain well above 50% of noise.

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